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Patent 2635901 Summary

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(12) Patent: (11) CA 2635901
(54) English Title: IMAGE SPLITTING, FORMING AND PROCESSING DEVICE AND METHOD FOR USE WITH NO MOVING PARTS CAMERA
(54) French Title: DISPOSITIF ET PROCEDE DE DIVISION, DE FORMATION ET DE TRAITEMENT D'IMAGES UTILISES AVEC UNE CAMERA DEPOURVUE DE PIECE MOBILE
Status: Expired
Bibliographic Data
(51) International Patent Classification (IPC):
  • H04N 7/18 (2006.01)
  • G06T 3/40 (2006.01)
  • G06T 5/00 (2006.01)
  • H04N 5/262 (2006.01)
  • G08B 13/196 (2006.01)
(72) Inventors :
  • GLATT, TERRY LAURENCE (United States of America)
  • SCHIELTZ, STEVEN W. (United States of America)
  • KUPERSMIT, CARL (United States of America)
(73) Owners :
  • SENSORMATIC ELECTRONICS, LLC (United States of America)
(71) Applicants :
  • SENSORMATIC ELECTRONICS CORPORATION (United States of America)
(74) Agent: SMART & BIGGAR
(74) Associate agent:
(45) Issued: 2009-05-19
(22) Filed Date: 1996-07-26
(41) Open to Public Inspection: 1997-02-13
Examination requested: 2008-07-31
Availability of licence: N/A
(25) Language of filing: English

Patent Cooperation Treaty (PCT): No

(30) Application Priority Data:
Application No. Country/Territory Date
08/508,057 United States of America 1995-07-27

Abstracts

English Abstract

A video surveillance system (10) has a camera equipped with a fisheye lens (20) having a substantially hemispheric field of view. The system (10) implements operations equivalent to pan, tilt, and zoom of a conventional camera. The camera produces a distorted fisheye image due to the properties of the fisheye lens (20). The system (10) corrects the distortion by mapping the pixels of the fisheye image to coordinates produced by selecting a particular part of the fisheye image to be viewed. The fisheye image formed by the camera is split into four separate image components (15, 16, 17, 18) carried by four bundles of optical fibers (35, 36, 37, 38). Each bundle has a CCD (45, 46, 47, 48) and associated image processing circuitry (65, 66, 67, 68) which forms an electronic representation of the image component carried by that bundle.


French Abstract

Un système de surveillance vidéo (10) possédant une caméra équipée d'une lentille oil-de- poisson (20) ayant un champ de vue sensiblement hémisphérique. Le système (10) met en ouvre des opérations équivalentes à panoramique, inclinaison et zoom d'une caméra classique. La caméra produit une image oil-de-poisson déformée à cause des propriétés de la lentille oil-de- poisson (20). Le système (10) corrige la distorsion en mappant les pixels de l'image oil-de- poisson selon des coordonnées produites en sélectionnant une partie précise de l'image oil-de- poisson à être vue. L'image oil-de-poisson formée par la caméra est divisée en quatre composantes d'image séparés (15, 16, 17, 18) portées par quatre faisceaux de fibres optiques (35, 36, 37, 38). Chaque faisceau a un DTC (45, 46, 47, 48) et un circuit de traitement d'image associé (65, 66, 67, 68) qui forme une représentation électronique de la composante d'image effectuée par ledit faisceau.

Claims

Note: Claims are shown in the official language in which they were submitted.



CLAIMS:
1. A method of video surveillance comprising the
steps of:

providing a video camera having an image plane and
a fisheye lens, the fisheye lens having a lens constant
indicative of distortion caused by the fisheye lens, a
primary axis and a substantially hemispheric field of view
and the camera having an image plane, the image plane having
a center point through which the primary axis passes;

mounting the camera at a mounting point vertically
above a surveillance plane such that the primary axis of the
fisheye lens lies substantially perpendicular to the
surveillance plane;

causing the video camera to form a fisheye image,
the fisheye image being distorted by the fisheye lens and
comprising a plurality of pixels, each pixel having unique
fisheye coordinates;

generating a corrected image of sub-area in the
field of view by the steps of:

providing angular coordinates of an object in the
field of view by simulating a hypothetical camera having a
hypothetical axis and such that the hypothetical axis passes
through the center point and the object in the field of view
at specific pan and tilt angles;

selecting an area of the fisheye image, wherein
the area comprises a subset of the plurality of pixels, each
pixel of the subset being displaced from the specific pan
angle by an angle "a";

16


determining the unique fisheye coordinates of each
pixel of the subset of the plurality of pixels by means of a
formula comprising the lens constant, the specific tilt
angle "b" and the angle "a", said formula being given by
X d = f.cos-1(cos(a).cos(b)).cos(tan-1(tan(a)/sin(b)))
Y d = f.cos-1(cos(a).cos(b)).sin(tan-1(tan(a)/sin(b))),

where "f" is the lens constant and X d and Y d are the unique
fisheye coordinates; and

mapping the pixels in the subset of the plurality
of pixels to normal coordinates, thereby forming the
corrected image of the sub-area.

2. The method of claim 1 wherein the specific tilt
angle is taken relative to the primary axis of the fisheye
lens.

3. The method of claim 1 wherein the specific pan
angle is taken relative to a prior pan angle about the
primary axis.

4. The method of claim 1 wherein the step of mapping
the pixels in the subset to the normal coordinates comprises
the steps of:

providing a lookup table containing sets of pre-
calculated coordinates calculated in accordance with the
formula such that for each pixel in the subset of the
plurality of pixels there is a corresponding set of angular
coordinates, and such that for each set of angular
coordinates, there is a set of pre-calculated pixel
coordinates;


17


providing the angular coordinates to the lookup
table and in response, causing the lookup table to output
the pre-calculated pixel coordinates.

5. The method of claim 4 further comprising the steps
of:

storing the plurality of pixels in an image
memory, at addresses corresponding to the pre-calculated
coordinates, providing the pre-calculated coordinates to the
image memory and receiving as an output from the image
memory, the pixels in the subset of the plurality of pixels.
6. The method of claim 1 wherein the step of
providing the angular coordinates of the object comprises
the step of receiving the specific pan and tilt angles via a
user input.

7. The method of claim 1 wherein the angular
coordinates are polar coordinates and further comprising the
step of converting the polar coordinates into the specific
pan and tilt angles.

8. The method of claim 1 wherein the step of
providing the angular coordinates of the object comprises
the step of selecting an area on a video display and
calculating the specific pan and tilt angles of the object
based on cartesian coordinates of the sub-area.

9. The method of claim 1 further comprising the step
of displaying the corrected image of the sub-area.

10. The method of claim 1 further comprising the step
of zooming the corrected image.

18




11. The method of claim 10 wherein the step of zooming
comprises incrementing angle "a".



19

Description

Note: Descriptions are shown in the official language in which they were submitted.



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IMAGE SPLITTING, FORMING AND PROCESSING DEVICE AND
METHOD FOR USE WITH NO MOVING PARTS CAMERA
This application is a Divisional of Canadian

National Phase Patent Application Serial No. 2,227,195 filed
July 26, 1996.

Field of the Invention:

This invention relates generally to the field of
video surveillance systems. More specifically, it relates
to an image forming and processing device including a
fisheye lens having a substantially hemispherical field of
view. The invention allows an operator to view a selected
part of the image formed by the fisheye lens as if it were
formed by a normal lens by simulating the panning, tilting
or zooming of the normal lens. This allows the operations
of panning, tilting and zooming to be implemented without
the use of moving parts.

Description of Related Art:

Surveillance cameras are commonly used to monitor
areas of retail stores, factories, airports and the like.
In order to use a single camera to survey a large area, the
camera is typically provided with mechanisms to enable it to
pan, tilt and zoom. Such mechanisms increase the complexity
and hence the cost of the camera and can also adversely
affect its reliability. Due to the presence of moving
parts, mechanical pan, tilt and zoom devices are subject to
damage and degradation brought on by extremes of
temperature, moisture and dust. In addition, such
mechanical systems consume relatively large amounts of
power. A surveillance camera capable of panning, tilting

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and zooming without the use of moving parts would therefore
provide significant advantages over existing surveillance
cameras.

In U.S. Patent No. 5,185,667, Zimmermann proposes
such a camera having no moving parts. In the device
specified in that patent, a fisheye lens is coupled to a
video camera such that the camera produces an electronic
image. Due to the characteristics of the fisheye lens, the
image is distorted. The distortion in the image is
corrected by means of an algorithm.

One of the limitations of the system proposed by
Zimmermann is that the camera is unable to provide
sufficient resolution for effective zooming. Since a
fisheye lens

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renders a distorted image of an entire hemisphere, parts of
the=image, especially at its peripheries are distorted. The
image is formed on a change coupled device (CCD) having a
limited number of pixels. In order to view the image as a
normal (non-distorted) image, it is necessary to transform
the image electronically. The limited number of pixels in
the CCD causes the transformed image to be poorly resolved.
In order to provide acceptable resolution, a CCD made of
approximately 156,000,000 would be needed.
The best available CCD's have approximately 16,000,000
pixels (4,000 x 4,000) and operate at clocking rates of the
order of 10 Mhz. However, in order to satisfy the NTSC
sampling rate of 30 samples per second, a clocking rate of
480 MHz is needed. Thus, the type of resolution required for
an NTSC picture with the desired magnification cannot be
achieved using the prior art.
In U.S. Patent No. 5,200,818, Neta et al. describe a
system in which a wide angle scene is monitored by means of
a plurality of sensor arrays mounted on a generally
hemispherical surface. Each sensor array has its own lens
system. This allows a wide field to be monitored without the
need for moving parts to effect panning and tilting. The
resolution of the system would be relatively high due to the
plurality of sensor arrays. However a system such as that
described by Neta et al. would be very costly to implement
due to the large nunber of high quality components needed.
It is an object of the present invention to provide a
surveillance camera apparatus, having a substantially
hemispherical field of view and capable of effecting the
operations of panning, zooming and tilting without the use of
moving parts, while still providing sufficient resolution to
allow the desired magnification.
It is a further object of the invention to provide a
surveillance camera apparatus, having a substantially
hemispherical field which allows an operator to view parts of
the field of view as if they were acquired by a camera having
a conventional lens and being capable of panning, tilting and
zooming.

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These and other advantages are achieved by some
embodiments of the invention described herein.

SiTMKARY OF THE INVENTION

An aspect of the present invention relates to an
image forming and processing device for use with a video
camera. The device comprises a lens having a wide field of
view (illustratively a fisheye lens). The lens forms a
first image having a distortion caused by the lens. An
image splitter splits the first image into a plurality of
images. At least one image sensor is provided for
converting at least one of the plurality of images into an
electronic representation. A processor corrects the
distortion so that at least part of the first image can be
viewed substantially without the distortion. The image
splitter may comprise a plurality of bundles optical fibers,
each bundle of optical fibers transmitting a part of the
first image. The image sensor may comprise a CCD connected
to at least one of the bundles of optical fibers for forming
an optical representation of the part of the first image
transmitted by that bundle of optical fibers.
There is also provided a method of video
surveillance comprising the steps of: providing a video
camera having an image plane and a fisheye lens, the fisheye
lens having a lens constant indicative of distortion caused
by the fisheye lens, a primary axis and a substantially
hemispheric field of view and the camera having an image
plane, the image plane having a center point through which
the primary axis passes; mounting the camera at a mounting
point vertically above a surveillance plane such that the
primary axis of the fisheye lens lies substantially
perpendicular to the surveillance plane; causing the video
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camera to form a fisheye image, the fisheye image being
distorted by the fisheye lens and comprising a plurality of
pixels, each pixel having unique fisheye coordinates;
generating a corrected image of sub-area in the field of

view by the steps of: providing angular coordinates of an
object in the field of view by simulating a hypothetical
camera having a hypothetical axis and such that the
hypothetical axis passes through the center point and the
object in the field of view at specific pan and tilt angles;

selecting an area of the fisheye image, wherein the area
comprises a subset of the plurality of pixels, each pixel of
the subset being displaced from the specific pan angle by an
angle "a"; determining the unique fisheye coordinates of

each pixel of the subset of the plurality of pixels by means
of a formula comprising the lens constant, the specific tilt
angle "b" and the angle "a", said formula being given by

Xd = f . cos-1 (cos (a) . cos (b) ) . cos (tan-1 (tan (a) /sin (b) ) )
Yd = f . cos-1 (cos (a) . cos (b) ) . sin (tan-1(tan (a) /sin (b) ) ) ,
where "f" is the lens constant and Xd and Yd are the unique

fisheye coordinates; and mapping the pixels in the subset of
the plurality of pixels to normal coordinates, thereby
forming the corrected image of the sub-area.

BRIEF DESCRIPTION OF THE DRAWINGS

Fig. 1 is a block diagram of a system according to
an embodiment of the invention;

Fig. 2 is a plan view of the image plane of the
fisheye lens showing a distorted fisheye image;

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Fig. 2A is a diagram of a selected part of the
fisheye image, corrected using an embodiment of the present
invention;

Fig. 3 is a perspective view of the image splitter
of an embodiment of the invention;

Fig. 4 is a perspective view of the fiber optic
bundles in the image splitter;

Fig. 5 is a block diagram of the fisheye
distortion correction system of an embodiment of the
invention;

Fig. 6 is a diagram showing the projection of a
point C at tilt angle b on the Y axis of the image plane as
a result of the fisheye distortion;

Fig. 7 is a diagram of the image plane X-Y showing
the projection of a point C on the image plane; and

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Fig. 8 is a three dimensional diagram showing the
primary axis of the fisheye lens, the primary axis of a
hypothetical camera panned and tilted to point at point C.
DETAILED DESCRIPTION
The following is a description of the preferred
embodiment of the present invention. It is intended to be
illustrative of the invention and not limiting. The full
scope of the invention is to be determined by the appended
claims and their equivalents.
The invention is shown in block diagram form in Fig. 1.
Typically the invention is used in the surveillance of
premises such as warehouses, stores, bus or train stations
and the like. To this end, system 10 is provided with a lens
which has a substantially hemispherical field of view, for
15 example a fisheye lens. It is preferable to have an
azimuthal view of 180 , a zenithal view of 90 and an
infinite depth of field. This produces the desired
substantially hemispherical field. The preferred lens is a
commercially available equidistant fisheye lens having a
20 focal length of 1.9 mm, and an f stop of 1.8. Lens 20 has a
primary axis Z and forms a circular image 14 on image plane
13.
Due to the properties of lens 20, image 14 is distorted.
Specifically, the orientation of objects in image 14 is
altered relative to their real orientation. For example, an
object 11 in the field of view of lens 20 (See Fig. 8) will
appear on the periphery of image 14 in distorted form as
shown in Fig. 2.
Image 14 is preferably split into four separate
components by splitter 30. Image 14 could be split into any
number of components, depending on the resolution required
and the available technology. When image 14 is split into
four components, each component respectively contains an
image 15, 16, 17 or 18 made up of one quadrant of circular
image 14. (See Fig. 2). Splitter 30 is made up of four
light conduits 25,26, 27 and 28. Light conduits 25, 26, 27
and 28 respectively contain coherent fiber optic bundles 35,
36, 37 and 38 (See Fig. 4). Images 15, 16, 17 and 18 are
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thus respectively carried in conduits 25, 26, 27 and 28 by
fiber optic bundles 35, 36, 37 and 38.
Splitter 30 is shown in greater detail in Figs. 3 and 4.
Splitter 30 is made up of a housing 32 to which are attached
conduits 25, 26, 27 and 28. Optical fiber bundles 35, 36, 37
and 38 housed in conduits 25, 26, 27 and 28 respectively,
branch off from a major bundle of fibers, terminating at
image plane 13 in a polished surface. See Fig. 4. Optical
fiber bundles 35, 36, 37 and 38, are each made up of a
plurality of optical fibers. Each optical fiber carries a
sample of image 14 formed by fisheye lens 20 and has a
diameter of approximately 10 m.
Images 15, 16, 17 and 18 respectively travel along each
of conduits 25, 26, 27 and 28 and impinge respectively upon
sensors 45, 46, 47 and 48. Sensors 45, 46, 47 and 48 are 768
x 480 CCD's with fiberoptic windows formed from a fiberoptic
faceplate which allows for direct coupling of the CCD's to
the optical fibers. Suitable fiberoptic faceplates are
available from Galileo Electro-optics Corporation of
Sturbridge, Massachusetts under the name "CP Series." Images
15, 16, 17 and 18 are respectively converted by the sensors
into representative electrical signals 55, 56, 57 and 58.
Signals 55, 56, 57 and 58 are fed into CCD control
processor 60 which is made up four identical off the shelf
video camera sensor image controllers 65, 66, 67 and 68, each
corresponding respectively to one of signals 55, 56, 57 or
58. Each of the control processors contains a CCD clocking
circuit 72, a video processing circuit 74 and a color space
converter 76. Color space conversion circuit 76 produces
chrominance and luminance signals Cr, Cb and Y for each
signal 55, 56, 57 and 58.
Control processors 65, 66, 67 and 68 respectively
produce video outputs 85, 86, 87 and 88 in the form of
luminance and chrominance components suitable for compression
by encoder 100. Compression of the video signals 85, 86, 87
and 88 allows a very large number of image samples to be
transmitted over a channel having limited bandwidth. The
video outputs are therefore compressed if the lens is at a
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location remote from correction circuit 140. Encoder 100
compresses the video signals 85, 86, 87 and 88 by compressing
them in accordance with a compression scheme, for example,
MPEG or H. 261. Alternatively, a sub-band coding scheme can
be used. Encoder 100 packetizes the video signals into a
serial data stream for transmission over high speed network
110 such as coaxial cable or optical fibers. The compressed
video signals are received by decoder 120 which performs a
transform on the compressed video signals which is the
inverse of the transform performed by encoder 100.
Decoder 120 produces a decoded video signal 130 which is
fed into correction circuit 140. The purpose of correction
circuit 140. is to correct the distortion introduced by
fisheye lens 20. This correction is performed in accordance
with the algorithm described below. Correction circuit 140
produces a corrected signal 150 which is displayed on display
160.
The following is a description of the system for
correcting the fisheye distortion of image 14. For the sake
of simplicity, it will be assumed that the entire fisheye
image 14 is formed on the surface of a single CCD 180 and
that splitter 30 is not used. CCD 180 has axes X and Y.
Lens 20 is mounted at a mounting point 17 vertically above
surveillance plane 19, preterably such that principal axis Z
is perpendicular to surveillance plane 19. Surveillance
plane 19 is the floor of a room 15. Mounting point 17 is on
the ceiling of room 15. Axes X, Y and Z intersect at center
point I on the surface of CCD 180. The surface of CCD 180
forms image plane 13 which is parallel to surveillance plane
19.
Mounting the camera and fisheye lens above the
surveillance field (i.e. on ceiling rather than on a wall)
has several advantages. Firstly, with the camera on the
ceiling, the field of view covers a full 360 . This allows
the simulation of a pan through 360' rather than a pan range
limited by the presence of the wall. In the case of a
ceiling mounted lens, the hypothetical (simulated) pan axis
is the primary axis Z of the fisheye lens, rather than an
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axis perpendicular to the primary axis in the case of a wall
mounted lens. The angle about the primary axis Z is
maintained from the object to the image. This facilitates
the calculation of radial coordinates because the pan axis is
already in radial form and no conversion is needed.
When any object is viewed on monitor 240, the vertical
center line of the image intersects the center point I of the
image plane. The primary axis Z of the lens passes through
this center point. There is therefore no need to rotate the
images to view them in their correct orientation. In the
correction algorithm set forth in U.S. Patent No. 5,185,667,
rotation of the image is separately calculated. Such a
separate operation is not needed with the present invention.
When the lens is placed on a wall, objects of interest
and objects which are furthest away tend to be at the center
of the fisheye image. The greatest resolution is needed to
view the details of those objects. When the fisheye lens is
placed vertically above the surveillance plane, objects in
the center are usually closest to the lens. Viewing of such
objects does not require high resolution and those objects
are the least distorted. Objects which are furthest away
from the lens appear at the peripheries of the fisheye image.
However, the image formed by a fisheye lens has a higher
density and therefore a lower CCD image resolution at the
center than at its peripheries. Consider a part of*a
fisheye image having a radius of "R." The density of the
pixels in the CCD on which the image is formed is uniform.
Along a line passing through the center of the CCD, the image
is spread over 2R pixels. At the circumference of the
image, the image is spread over vR (half the circumference) -
A/2 more pixels than for objects appearing at the center of
the image. Thus placing the lens vertically above the
surveillance plane provides far better resolution for distant
objects than if the lens is placed perpendicular to the
surveillance plane.
The following description refers to Fig. 5.
Fisheye lens 20 has a 180 degree field of view covering area
"A." With lens 20 is mounted on the ceiling of room 15, area
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A includes the floor and walls of the room. Fisheye lens 20
forins a fisheye image Ad of area A on image plane 13. Any
point in area A represented by unique coordinates (x;y), is
displaced to point (xd;yd) in the fisheye image Ad in
accordance with the characteristics of fisheye lens 20.
Image plane 13 (the surface of CCD 180) is made up of a
matrix comprising a plurality of pixels 182. Each pixel has
unique fisheye coordinates. CCD thus produces an electronic
representation of area A. This representation is fed into
CCD control processor 250 (identical to control processor 60)
which produces chrominance and luminance values for each
pixel in CCD 180. Those chrominance and luminance values are
stored in dual ported image memory ("DPIM") 200. The present
invention allows the user to manipulate the fisheye image
electronically in order to implement the operations of
panning, tilting and zooming. Thus a sub-area a of area A
can be examined in detail by the transformation of sub-area
ad of area Ad from a distorted fisheye image into a normal
image.
When the system is powered up a default corrected sub-
area acappears on monitor 240. The user selects sub-area a
by means of area select unit 210 - a control station having
a keyboard and a pointing device. This is done by using
pointing device 214 to simulate the panning and a tilting of
a hypothetical conventional camera. The image on monitor 240
appears to have been formed by a conventional camera. In
reality, it is formed by correction of part of fisheye image
14. The selection of sub-area a provides the normal (non-
fisheye) coordinates of an object in the center of sub-area
a. This operation simulates the pointing of the primary axis
(IC in Fig. 8) of hypothetical conventional camera at the
object. The hypothetical camera is mounted at mounting point
17 with its primary axis IC passing through center point I
and through the center of sub-area a. Pointing this
hypothetical camera by means of input device 214 such that a
sub-area a appears on monitor 240 also causes area select
unit 210 to generate the pan and tilt angles which would be
associated with the hypothetical camera positioned at
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hypothetical pan and tilt angles so that it points at an
object in sub-area a.
When the user selects sub-area a the system
automatically converts ad (the distorted fisheye image of area
a) into a corrected image ac. This allows the user to view
the sub-area a on monitor 240 as if it were formed by the
hypothetical (non-fisheye) camera which had been panned and
tilted to point at sub-area a.
Each of the pixels in the fisheye image Ad is stored at
a unique address in DPIM 200 in the form of the intensity and
color data generated by CCD 180 via control processor 250.
DPIM 200 thus contains a digital electronic representation of
the distorted fisheye image Ad of area A. For any sub-area
a of area A, DPIM 200 contains an electronic representation
of the corresponding distorted sub-area ad.
Image plane 13 is the plane formed by the X and Y axes
as shown in Figs. 6, 7 and B. Primary axis Z of l.ens 20 is
perpendicular to the X and Y axes. If a user wished to view
in detail the scene centered around point C (i.e sub-area a-
the image shown in Fig. 2B) with a hypothetical non-fisheye
lensed camera, the user would instruct the camera to tilt by
an angle b relative to the primary axis Z. Doing so would
orient the hypothetical camera such that the hypothetical
primary axis (center line IC) passes through the center point
I of image plane 13 and through point C.
Had it been captured by the hypothetical conventional
camera, area a would appear on CCD 180 as an image 300
centered at line 320 and made up of a large number of
horizontal lines of pixels 310. (See Fig. 2A). Each pixel
on a particular horizontal line is displaced from center line
320 by a particular distance x. That distance corresponds to
an angle "a" relative to center line IC (See Fig. 8) or angle
a' about primary axis Z.
Each pixel in image 14 can be described by reference to
a set of rectangular or polar coordinates. Thus, referring
to Figs. 7 and 8, the pixel at point C on center line IC can
be located by reference to polar coordinates in the form of
tilt angle b (See Fig. 6) and angle a - the displacement of
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the pixel from center (for point C, a is equal to zero since
C lies on the X axis). Similarly, moving along a horizontal
line in CCD 180 (i.e., moving parallel to the Y axis), a
pixel at point S can be described by reference to tilt angle
b' relative to principle axis Z and pan angle a' relative to
center line IC. The corresponding rectangular coordinates
are xd and yd .
Referring again to Fig. 2A, it can be seen that due to
the nature of the fisheye lens, the fisheye image is
distorted. Objects located close to the principal axis of
fisheye lens 20 appear on CCD 180 substantially normally (See
area 182), whereas, objects further from the principal axis
are progressively more distorted (See area 184). The
information carried by a pixel located at point (x;y) in a
non-fisheye image will, in the fisheye image, be located at
(xd;yd) , where (xd;yd) are displaced from (x;y) by an amount
dependent on the properties of fisheye lens 20.
It is a fundamental property of a fisheye lens that the
image of a point located at an angle of rotation b' relative
to the primary axis will be projected on the image plane a
radius r from the primary axis in accordance with the
formula:
r = f.b'
where r is the distance from center point I;
f is a lens constant in mm/radian indicative of the
distortion caused by the fisheye lens; and
b' is the angle of an incident ray from an object to the
primary axis (in radians).
It is also a fundamental property of a fisheye lens that
the angle from a point in the field of view to its projection
on the image plane is maintained.
These two properties are used to derive a new formula
which allows selected parts of the fisheye image to be viewed
as if they were formed by a conventional camera panned,
tilted or zoomed in on an area of interest in the field of
view. This formula relates the pan and tilt angles of a
hypothetical camera described above to the rectangular
coordinates of a corrected image. The following is a


CA 02635901 2008-07-31
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description of how that formula is derived and applied to
achieve the objects of the invention.
From Fig. 6 it can be seen that a point C located at a
tilt angle b relative to the principal axis of the lens forms
an image on image plane IP at a radius r=rc from center point
1. As stated above, for a particular fisheye lens, the
relationship between tilt angle b and the radius at which the
image of point C forms is:
r=f.b ........................................ (1)
In Fig. 8, point C lies in the plane formed by the Y and
Z axes and at a tilt angle of b relative to the primary axis
Z. The line IC from the center I of the image plane to point
C is taken as the primary axis of a hypothetical camera lens
pointed at point C.= Line CS extends from point C to a point
S. CS is parallel to the X axis. CS thus represents a
horizontal line of pixels in CCD 180. Consider a pixel at
S, at a particular radius r from I, the center of the CCD,
and at a pan angle "a "' about the primary axis of the
hypothetical camera lens and at a tilt angle b' relative to
the primary axis of the fisheye lens. The rectangular
coordinates of that pixel are:
X=f.b'.cos(a') ................................. (2)
Y=f.b'.sin(a') .................................(3)
Equations (2) and (3) convert the polar coordinates of
any particular pixel of the fisheye image formed on CCD to
rectangular coordinates. The pixel at point S can therefore
be located by reference to tilt angle b' (an angle measured
of f the principal axis Z) and pan angle a' (the angle of
rotation around the principal axis Z).
When the system powers up a default area a is displayed,
corresponding to the initial area at which the hypothetical
camera is pointing. For convenience, this area lies along
the primary axis Z (so the tilt angle b is zero). The pan
angle is also zero (i.e., line IC lies along the X axis).
The hypothetical camera (with the primary axis of its lens
lying along line IC) is then tilted by an angle of "b"
relative to the primary axis Z of the fisheye lens so that it
points at an object centered at point C. In order to make
11


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the operation of the correction system transparent to the
user, the panning and tilting of the hypothetical camera is
measured relative to the initial position of the hypothetical
camera. Thus, the position of a pixel representing a point
at S will be expressed in terms of tilt angle "b" and the
angle of point S from center line IC - angle "a" the amount
of pan from center line IC to point S.
The following is a description of the manner in which
the position of a pixel representing point S in the fisheye
image can be described by reference to angle a - its
displacement from the center line IC and angle b - the tilt
angle of a hypothetical normal camera panned and tilted so
that it's principal axis is aligned with point C.
Referring to Fig. 8, it is seen that
tan(a') = SC/PC
SC=IS.Ein(a)
PC=IC. sin (b)
IC=IS.cos(a)
therefore tan(a') = IS.sin(a)/IS.cos(a).sin(b)
= tan(a)/sin(b)
a'= tan''(tan(a)/sin(b)) ........................ (4)
cos(b') = IP/IS
IP=IC.cos(b)
IC=IS.cos(a)
therefore cos(b') = IS.cos(a).cos(b)/IS
= cos(a).cos(b)
b' = cos'l (cos(a).cos(b)) ........................(5)
From equations (2) and (3), for a given fisheye lens,
Xd fb'cos(a') and Yd fb'sin(a'). Substituting the values of
a' and b' from equations (4j and (5) into equations (2) and
(3):
Xd= f.cos'I (cos(a).cos(b)).cos(tan" (tan(a)/sin(b)))...(6)
Yd= f.cos"1 (cos(a) .cos(b) ) .sin(tan" (tan(a) /sin (b))) . . . (7)
These formulas allow the coordinates of the pixels
centered around center line IC to be calculated simply from
knowledge of angular coordinates in the form of the tilt
angle "b" of a hypothetical camera (a measure of the distance
of the point from the center of the fisheye image) and the
12


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angle a" of a pixel relative to center line IC. This
formula provides a. very simple means for effectuating
panning, tilting and zooming from the fisheye image.
To effect panning of the hypothetical camera, pan angle
p is added to angle a' to form new angle a". Thus, a"= p +
a'.
Substituting this into equation (4) gives:
all_ p + tan"t(tan(a)/sin(b) ) .... . .... . .. . . .. . . . ... (8)
Substituting equation (a) into equations (6) and (7):
Xd f.cos"S(cos(a).cos(b)).cos(p + tanl(tan(a)/sin(b))
(9)
Yd f . cos"1(cos (a) . cos (b) ) . sin (p + tan' (tan (a) /sin (b) )
(10)
As pointing device 214 is moved to simulate panning
and/or tilting of the hypothetical camera, the rectangular
coordinates (X;Y) of each pixel in each line of pixels in
sub-area a are generated by area select unit 210 and stored
in look-up table ("LUT") 222. The system also automatically
calculates the coordinates (Xd;Yd) of the fisheye image from
the using equations (9) and (10). For each set of normal
coordinates (X;Y) in sub-area a, the calculated coordinates
(Xd;Yd) are stored in LUT 222 as addresses in DPIM 200.
All of the coordinates for the fisheye image could be
pre-calculated or only the coordinates for a particular area
need be calculated as the area is selected. In either case,
the coordinates are stored in LUT 222 and the corresponding
pixels are stored in DPIM 200. This allows the pixels
corresponding to those calculated coordinates to be fetched
from CCD 180. The fetched pixels are then displayed on
monitor 240 at locations (X;Y) just as if the image had been
formed by the panning and tilting of a normal camera to
coordinates (X;Y).
Zooming can be accommodated by varying the amount that
angle a i incremented between pixels and the amount b is
incremented between rows when calculating the contents of LUT
222. For example, if there are 400 pixels on a horizontal
display line and a is incremented from -20 for the left side
of the display in steps of .1 , a 40 horizontal field of
13


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view will result. Likewise, to display a 30 vertical field
of view that would correctly maintain the 4:3 aspect ratio of
a standard display, the 483 display lines would be obtained
by incrementing b by .062 between each horizontal display
line.
The contents of LUT 222 and DPIM 200 are represented in
the following table:
TABLE I

ADDRESS SEQUENCE PEA GENERATOR LUT DUAL PORT MEMORY
FOR BOTH DATA CONTENTS CONTENTS
STRUCTURES

Starting Address Address of lst lst pixel lst row
pixel of lst row

Starting Address + Add. of 2nd pixel 2nd pixel lst row
1 of 1st row

= = .
. .
. . .
Starting Address + Add. of lst pixel Ist pixel 2nd row
H of 2nd row

Starting Address + Add. of 2nd pixel 2nd pixel 2nd row
H+ 1 of 2nd row

. .
. . .
Starting Address + Add. of lst pixel lst pixel 3rd row
2H of 3rd row

Starting Address + Add. of 2nd pixel 2nd pixel 3rd row
2H + 1 of 3rd row
. .
= = -
H = Number of pixels per line in display processor.

By retaining multiple images in DPIM 200, a historical
log of images over time can also be stored. The oldest image
14


CA 02635901 2008-07-31
77493-127D

is continually overwritten with the current image as the
memory capacity is exceeded, thus maintaining a revolving log
of images generated over a predetermined time period. Thus,
by appropriate selection of an address in DPIM 200 by fisheye
address generator, images captured in the preceding
predetermined time interval can be displayed when an alarm
event occurs (e.g. an intruder attempting to enter the
monitored premises and triggering a sensor).

Using a 360 degree image, this system implements the
operations of panning and tilting without any moving parts.
This increases the reliability of the camera while limiting
the cost of acquiring and maintaining it. The invention thus
enables the monitoring of a large area by means of a single
camera covering a wide field of view.



Representative Drawing
A single figure which represents the drawing illustrating the invention.
Administrative Status

For a clearer understanding of the status of the application/patent presented on this page, the site Disclaimer , as well as the definitions for Patent , Administrative Status , Maintenance Fee  and Payment History  should be consulted.

Administrative Status

Title Date
Forecasted Issue Date 2009-05-19
(22) Filed 1996-07-26
(41) Open to Public Inspection 1997-02-13
Examination Requested 2008-07-31
(45) Issued 2009-05-19
Expired 2016-07-26

Abandonment History

There is no abandonment history.

Payment History

Fee Type Anniversary Year Due Date Amount Paid Paid Date
Request for Examination $800.00 2008-07-31
Registration of a document - section 124 $100.00 2008-07-31
Registration of a document - section 124 $100.00 2008-07-31
Registration of a document - section 124 $100.00 2008-07-31
Application Fee $400.00 2008-07-31
Maintenance Fee - Application - New Act 2 1998-07-27 $100.00 2008-07-31
Maintenance Fee - Application - New Act 3 1999-07-26 $100.00 2008-07-31
Maintenance Fee - Application - New Act 4 2000-07-26 $100.00 2008-07-31
Maintenance Fee - Application - New Act 5 2001-07-26 $200.00 2008-07-31
Maintenance Fee - Application - New Act 6 2002-07-26 $200.00 2008-07-31
Maintenance Fee - Application - New Act 7 2003-07-28 $200.00 2008-07-31
Maintenance Fee - Application - New Act 8 2004-07-26 $200.00 2008-07-31
Maintenance Fee - Application - New Act 9 2005-07-26 $200.00 2008-07-31
Maintenance Fee - Application - New Act 10 2006-07-26 $250.00 2008-07-31
Maintenance Fee - Application - New Act 11 2007-07-26 $250.00 2008-07-31
Maintenance Fee - Application - New Act 12 2008-07-28 $250.00 2008-07-31
Final Fee $300.00 2009-03-03
Maintenance Fee - Patent - New Act 13 2009-07-27 $250.00 2009-06-30
Maintenance Fee - Patent - New Act 14 2010-07-26 $250.00 2010-06-30
Registration of a document - section 124 $100.00 2010-12-09
Maintenance Fee - Patent - New Act 15 2011-07-26 $450.00 2011-06-30
Maintenance Fee - Patent - New Act 16 2012-07-26 $450.00 2012-07-02
Maintenance Fee - Patent - New Act 17 2013-07-26 $450.00 2013-07-01
Maintenance Fee - Patent - New Act 18 2014-07-28 $450.00 2014-07-21
Maintenance Fee - Patent - New Act 19 2015-07-27 $450.00 2015-07-20
Owners on Record

Note: Records showing the ownership history in alphabetical order.

Current Owners on Record
SENSORMATIC ELECTRONICS, LLC
Past Owners on Record
GLATT, TERRY LAURENCE
KUPERSMIT, CARL
SCHIELTZ, STEVEN W.
SENSORMATIC ELECTRONICS CORPORATION
TYCO ACQUISITION CORP. XXIV
Past Owners that do not appear in the "Owners on Record" listing will appear in other documentation within the application.
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Document
Description 
Date
(yyyy-mm-dd) 
Number of pages   Size of Image (KB) 
Abstract 2008-07-31 1 22
Description 2008-07-31 5 156
Claims 2008-08-01 4 108
Drawings 2008-07-31 4 73
Representative Drawing 2008-09-18 1 8
Cover Page 2008-10-28 2 48
Description 2008-08-01 18 818
Claims 2008-07-31 22 1,040
Cover Page 2009-05-05 2 48
Correspondence 2008-08-20 1 39
Prosecution-Amendment 2008-07-31 11 318
Assignment 2008-07-31 2 103
Correspondence 2008-10-31 1 17
Correspondence 2009-03-03 1 39
Assignment 2010-12-09 19 1,206